That is reason why im playing 1h pvp. And burst with 1h is higher to. And i got upgraded 1hand for my FC gear setup
What sucks is that you need extra 1500 conquest points to upgrade your offhand...... WTF blizzard. Casters dont need to do that.

That is why beside the PvP Power on the weapon, it is labeled as "Unique". On the plus side, that means if you are a PvE Hero, you can use your dragon slaying axe in your mainhand and still get the benefit of the PvP Power in your offhand.